{"id":"W3021331763","doi":"10.1137/20m1343099","title":"The Structure of $I_4$-Free and Triangle-Free Binary Matroids","year":2022,"lang":"en","type":"article","venue":"SIAM Journal on Discrete Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Government of Ontario; Ontario Research Foundation","keywords":"Matroid; Mathematics; Combinatorics; Graphic matroid; Rank (graph theory); Simple (philosophy); Binary number; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002467548,0.0003397098,0.0003809023,0.001765961,0.001026291,0.002128344,0.0008793017,0.0005403808,0.005976244],"category_scores_gemma":[0.001147776,0.0005433907,0.0004106009,0.001131718,0.001199357,0.002145974,0.001155567,0.0008686587,0.0006747047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009134649,"about_ca_system_score_gemma":0.0002798436,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001273063,"about_ca_topic_score_gemma":0.001089159,"domain_scores_codex":[0.9995596,0.00004478473,0.00002911548,0.0001053001,0.0001423334,0.0001188703],"domain_scores_gemma":[0.9988072,0.0002330318,0.0003238985,0.0001382271,0.0001955991,0.0003020099],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002755869,0.00009743974,0.005128053,0.0001993175,0.00003027505,0.0004464587,0.001156817,0.007106959,0.02153214,0.931082,0.004031471,0.02891356],"study_design_scores_gemma":[0.0000930054,0.0001313197,0.01108181,0.00007436899,0.00005712415,0.001703954,0.0008478428,0.04084396,0.01588914,0.9107181,0.01848768,0.00007163313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9151294,0.0004252174,0.04968272,0.0005426025,0.00004444439,0.0000475383,0.000956616,0.0001807446,0.03299076],"genre_scores_gemma":[0.9737342,0.0002079194,0.01541306,0.0001198374,0.00007028219,0.00006013,0.001252839,0.00005410928,0.009087688],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005976244,"threshold_uncertainty_score":0.01999247,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0157633322821541,"score_gpt":0.2766186924418269,"score_spread":0.2608553601596728,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}